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Finding the Fourth Proportional to 702,429.77, 969,353.02 and 380,139.94

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Solution

The fourth proportional to 702,429.77, 969,353.02 and 380,139.94 is: 524,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,429.77 : 969,353.02 = 380,139.94 : x
  2. Step 2: Convert to fraction form
    702,429.77/969,353.02 = 380,139.94/x
  3. Step 3: Cross multiply
    702,429.77x = 969,353.02 × 380,139.94
  4. Step 4: Simplify right side
    702,429.77x = 368,489,795,095.87
  5. Step 5: Solve for x
    x = 368,489,795,095.87/702,429.77
  6. Step 6: Final answer
    x = 524,593.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.